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if the axes are rotated through 60 in th...

if the axes are rotated through 60 in the anticlockwise sense,find the transformed form of the equation `x^2-y^2=a^2`,

A

` X^(2) + Y^(2) - 3 sqrt(3) XY = 2a^(2) `

B

`X^(2) + Y^(2) = a^(2)`

C

` Y^(2) - X^(2) - 2 sqrt(3) XY = 2a^(2) `

D

`X^(2) - Y^(2) + 2 sqrt(3) XY = 2a^(2) `

Text Solution

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The correct Answer is:
C
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